1004230002100 has 144 divisors (see below), whose sum is σ = 2364525879408. Its totient is φ = 368000962560.

The previous prime is 1004230002089. The next prime is 1004230002121. The reversal of 1004230002100 is 12000324001.

1004230002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 803780385444 + 200449616656 = 896538^2 + 447716^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138759682 + ... + 138766918.

It is an arithmetic number, because the mean of its divisors is an integer number (16420318607).

Almost surely, 2^{1004230002100} is an apocalyptic number.

1004230002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004230002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182262939704).

1004230002100 is an abundant number, since it is smaller than the sum of its proper divisors (1360295877308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1004230002100 is a wasteful number, since it uses less digits than its factorization.

1004230002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8054 (or 8047 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 1004230002100 its reverse (12000324001), we get a palindrome (1016230326101).

The spelling of 1004230002100 in words is "one trillion, four billion, two hundred thirty million, two thousand, one hundred".